1 /* s_sinl.c -- long double version of s_sin.c.
2 * Conversion to long double by Jakub Jelinek, jj@ultra.linux.cz.
6 * ====================================================
7 * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
9 * Developed at SunPro, a Sun Microsystems, Inc. business.
10 * Permission to use, copy, modify, and distribute this
11 * software is freely granted, provided that this notice
13 * ====================================================
17 * Return sine function of x.
20 * __kernel_sinl ... sine function on [-pi/4,pi/4]
21 * __kernel_cosl ... cose function on [-pi/4,pi/4]
22 * __ieee754_rem_pio2l ... argument reduction routine
25 * Let S,C and T denote the sin, cos and tan respectively on
26 * [-PI/4, +PI/4]. Reduce the argument x to y1+y2 = x-k*pi/2
27 * in [-pi/4 , +pi/4], and let n = k mod 4.
30 * n sin(x) cos(x) tan(x)
31 * ----------------------------------------------------------
36 * ----------------------------------------------------------
39 * Let trig be any of sin, cos, or tan.
40 * trig(+-INF) is NaN, with signals;
41 * trig(NaN) is that NaN;
44 * TRIG(x) returns trig(x) nearly rounded
58 long double y[2], z = 0.0L;
62 if (x >= -0.7853981633974483096156608458198757210492 &&
63 x <= 0.7853981633974483096156608458198757210492)
64 return kernel_sinl (x, z, 0);
66 /* sinl(Inf or NaN) is NaN, sinl(0) is 0 */
67 else if (x + x == x || x != x)
68 return x - x; /* NaN */
70 /* argument reduction needed */
73 n = ieee754_rem_pio2l (x, y);
77 return kernel_sinl (y[0], y[1], 1);
79 return kernel_cosl (y[0], y[1]);
81 return -kernel_sinl (y[0], y[1], 1);
83 return -kernel_cosl (y[0], y[1]);
92 printf ("%.16Lg\n", sinl(0.7853981633974483096156608458198757210492));
93 printf ("%.16Lg\n", sinl(0.7853981633974483096156608458198757210492 *29));
94 printf ("%.16Lg\n", sinl(0.7853981633974483096156608458198757210492 *2));
95 printf ("%.16Lg\n", sinl(0.7853981633974483096156608458198757210492 *30));
96 printf ("%.16Lg\n", sinl(0.7853981633974483096156608458198757210492 *4));
97 printf ("%.16Lg\n", sinl(0.7853981633974483096156608458198757210492 *32));
98 printf ("%.16Lg\n", sinl(0.7853981633974483096156608458198757210492 *2/3));
99 printf ("%.16Lg\n", sinl(0.7853981633974483096156608458198757210492 *4/3));